Discussion
Just one of these functions is analytic everywhere in the plane. Which?
Answer: B
The exponential satisfies the Cauchy-Riemann equations at every point and is its own derivative, so it is entire. The conjugate fails them everywhere, the reciprocal fails at the origin, and the modulus is real-valued and non-constant, which no analytic function can be
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development